Chern--Simons Perturbation Theory II
| dc.creator | Axelrod, Scott | |
| dc.creator | Singer, I. M. | |
| dc.date | 1993-04-21 | |
| dc.date.accessioned | 2026-07-07T09:14:02Z | |
| dc.date.available | 2026-07-07T09:14:02Z | |
| dc.description | In a previous paper [\AS], we used superspace techniques to prove that perturbation theory (around a classical solution with no zero modes) for Chern--Simons quantum field theory on a general $3$-manifold $M$ is finite. We conjectured (and proved for the case of $2$-loops) that, after adding counterterms of the expected form, the terms in the perturbation theory define topological invariants. In this paper we prove this conjecture. Our proof uses a geometric compactification of the region on which the Feynman integrand of Feynman diagrams is smooth as well as an extension of the basic propagator of the theory. | |
| dc.description | 40 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9304087 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9304087 | |
| dc.identifier | J.Diff.Geom. 39 (1994) 173-213 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152533 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Differential Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Chern--Simons Perturbation Theory II | |
| dc.type | text |